Given that the third term #a_3# of a geometric sequence is #2# and the sixth term #a_6# is #128#, which term is #1/2# ?
1 Answer
Jul 26, 2016
Explanation:
We can write the general term of a geometric sequence as:
#a_n = ar^(n-1)#
where
In our example
#r^3 = (ar^5)/(ar^2) = a_6/a_3 = 128/2 = 64 = 4^3#
So the only possible Real value of
Note that
So